Length of open organ pipe is 44cm speed of sound is 340 m/s fundamenta...
Calculation of End Correction in an Open Organ PipeGiven:
- Length of the open organ pipe = 44 cm
- Speed of sound = 340 m/s
- Fundamental frequency = 340 Hz
Formula:End correction = 0.6D
where D is the diameter of the pipe
Calculation:We know that the fundamental frequency of an open organ pipe is given by:
f = v/2L
where f is the frequency, v is the speed of sound, and L is the length of the pipe
Substituting the given values, we get:
340 = (2 x 44 x f)
f = 3.86 Hz
Now, we can calculate the diameter of the pipe using the formula:
f = nv/2L
where n is the harmonic number (n=1 for the fundamental frequency)
Substituting the values, we get:
1 = (1 x 340)/(2 x 0.44 x D)
D = 0.038 m
Using the formula for end correction, we get:
End correction = 0.6D
End correction = 0.6 x 0.038
End correction = 0.023 m
Answer:The end correction for the given open organ pipe is 0.023 m.